Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel

Dan LI; WANG Shan; Fang-lin GU

doi:10.1631/FITEE.1700030

Your Location：

Home >

Browse articles >

Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel

Regular Papers | Updated：2022-05-19

- Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel
- Z干扰信道下非正则信号的最佳设计策略
- Frontiers of Information Technology & Electronic Engineering Vol. 18, Issue 11, Pages: 1900-1912(2017)
- Affiliations：
  
  College of Electronic Science and Engineering, National University of Defence Technology, Changsha 410007, China
- Author bio：
  
  Shan WANG, E-mail: chinafir@nudt.edu.cn
- Funds：
- DOI：10.1631/FITEE.1700030
  CLC： TN92
- Received：10 January 2017，
  
  Revised：2017-11-25，
  
  Published：2017-11
- Accepted：
Scan QR Code
Dan LI, WANG Shan, Fang-lin GU. Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(11): 1900-1912.
DOI：

Dan LI, WANG Shan, Fang-lin GU. Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(11): 1900-1912. DOI： 10.1631/FITEE.1700030.

摘要

本文提出一种用于在干扰被视为加性高斯噪声的假设下在Z干扰信道（z-interference channel

Z-IC）上实现非正则高斯信号（improper Gaussian signaling

IGS）的Pareto边界（可实现速率区域的边界）。具体来说，文章表明了帕累托边界可由某个用户的传输速率的两个区域表征，由传输信号的方差与伪协方差的两个变化路径决定。为每个用户发送的非正则信号的最优协方差和伪协方差设计推导出简明闭合的表达式。为此，我们通过仿真试验有力证明了所提出的最优信号设计策略的有效性，同时直观地展现出IGS较正则高斯信号（proper Gaussian signaling

PGS）的优越性。此外，我们提出的最优信号设计策略提供了实现所需速率区域的简单方法。利用该方法，我们得到了一个闭合形式的解决方案，用于快速确定最大和速率的信号设计方案。最后，我们深入讨论了帕累托边界的特征，定性分析了信道系数以及两个用户发送的信号的协方差和伪协方差与其的关系。

Abstract

We propose a thoroughly optimal signal design strategy to achieve the Pareto boundary (boundary of the achievable rate region) with improper Gaussian signaling (IGS) on the Z-interference channel (Z-IC) under the assumption that the interference is treated as additive Gaussian noise. Specifically

we show that the Pareto boundary has two different schemes determined by the two paths manifesting the characteristic of improperly transmitted signals. In each scheme

we derive several concise closed-form expressions to calculate each user's optimally transmitted power

covariance

and pseudo-covariance of improperly transmitted signals. The effectiveness of the proposed optimal signal design strategy is supported by simulations

and the results clearly show the superiority of IGS. The proposed optimal signal design strategy also provides a simple way to achieve the required rate region

with which we also derive a closed-form solution to quickly find the circularity coefficient that maximizes the sum rate. Finally

we provide an in-depth discussion of the structure of the Pareto boundary

characterized by the channel coefficient

the degree of impropriety measured by the covariance

and the pseudo-covariance of signals transmitted by two users.

关键词

Keywords

references

M. Agiwal , , , A. Roy , , , N. Saxena . . Next generation 5G wireless networks: a comprehensive survey . . IEEE Commun. Surv. Tutor. , , 2016 . . 18 ( ( 3 ): ): 1617 - - 1655 . . DOI: 10.1109/COMST.2016.2532458 http://doi.org/10.1109/COMST.2016.2532458 . .

V.R. Cadambe , , , S.A. Jafar . . Interference alignment and degrees of freedom of the K -user interference channel . . IEEE Trans. Inform. Theor. , , 2008 . . 54 ( ( 8 ): ): 3425 - - 3441 . . DOI: 10.1109/TIT.2008.926344 http://doi.org/10.1109/TIT.2008.926344 . .

V.R. Cadambe , , , S.A. Jafar , , , C.W. Wang . . Interference alignment with asymmetric complex signaling---settling the H∅st-Madsen-Nosratinia conjecture . . IEEE Trans. Inform. Theor. , , 2010 . . 56 ( ( 9 ): ): 4552 - - 4565 . . DOI: 10.1109/TIT.2010.2053895 http://doi.org/10.1109/TIT.2010.2053895 . .

M.H.M. Costa . . On the Gaussian interference channel . . IEEE Trans. Inform. Theor. , , 1985 . . 31 ( ( 5 ): ): 607 - - 615 . . DOI: 10.1109/TIT.1985.1057085 http://doi.org/10.1109/TIT.1985.1057085 . .

C. Hellings , , , M. Joham , , , W. Utschick . . QoS feasibility in MIMO broadcast channels with widely linear transceivers . . IEEE Signal Process. Lett. , , 2013 . . 20 ( ( 11 ): ): 1134 - - 1137 . . DOI: 10.1109/LSP.2013.2282186 http://doi.org/10.1109/LSP.2013.2282186 . .

Z.K.M. Ho , , , E. Jorswieck . . Improper Gaussian signaling on the two-user SISO interference channel . . IEEE Trans. Wirel. Commun. , , 2012 . . 11 ( ( 9 ): ): 3194 - - 3203 . . DOI: 10.1109/TWC.2012.071612.111338 http://doi.org/10.1109/TWC.2012.071612.111338 . .

A. Host-Madsen , , , A. Nosratinia . . The multiplexing gain of wireless networks . . Int. Symp. on Information Theory , , 2005 . . p.2065 - - 2069 . . DOI: 10.1109/ISIT.2005.1523709 http://doi.org/10.1109/ISIT.2005.1523709 . .

C. Kim , , , E.R. Jeong , , , Y.C. Sung , , , 等 . . Asymmetric complex signaling for full-duplex decode-and-forward relay channels . . Int. Conf. on Convergence , , 2012 . . p.28 - - 29 . . DOI: 10.1109/ICTC.2012.6386770 http://doi.org/10.1109/ICTC.2012.6386770 . .

E. Kurniawan , , , S.M. Sun . . Improper Gaussian signaling scheme for the Z-interference channel . . IEEE Trans. Wirel. Commun. , , 2015 . . 14 ( ( 7 ): ): 3912 - - 3923 . . DOI: 10.1109/TWC.2015.2414913 http://doi.org/10.1109/TWC.2015.2414913 . .

S. Lagen , , , A. Agustin , , , J. Vidal . . Coexisting linear and widely linear transceivers in the MIMO interference channel . . IEEE Trans. Signal Process. , , 2016 . . 64 ( ( 3 ): ): 652 - - 664 . . DOI: 10.1109/TSP.2015.2489604 http://doi.org/10.1109/TSP.2015.2489604 . .

C. Lameiro , , , I. Santamaria , , , P.J. Schreier . . Rate region boundary of the SISO Z-interference channel with improper signaling . . IEEE Trans. Commun. , , 2017 . . 65 ( ( 3 ): ): 1022 - - 1034 . . DOI: 10.1109/TCOMM.2016.2641948 http://doi.org/10.1109/TCOMM.2016.2641948 . .

A.S. Motahari , , , A.K. Khandani . . Capacity bounds for the Gaussian interference channel . . IEEE Trans. Inform. Theor. , , 2009 . . 55 ( ( 2 ): ): 620 - - 643 . . DOI: 10.1109/TIT.2008.2009807 http://doi.org/10.1109/TIT.2008.2009807 . .

F.D. Neeser , , , J.L. Massey . . Proper complex random processes with applications to information theory . . IEEE Trans. Inform. Theor. , , 1993 . . 39 ( ( 4 ): ): 1293 - - 1302 . . DOI: 10.1109/18.243446 http://doi.org/10.1109/18.243446 . .

H. Sato . . The capacity of the Gaussian interference channel under strong interference . . IEEE Trans. Inform. Theor. , , 1981 . . 27 ( ( 6 ): ): 786 - - 788 . . DOI: 10.1109/TIT.1981.1056416 http://doi.org/10.1109/TIT.1981.1056416 . .

E. Telatar . . Capacity of multi-antenna Gaussian channels . . Eur. Trans. Telecommun. , , 1999 . . 10 ( ( 6 ): ): 585 - - 595 . . DOI: 10.1002/ett.4460100604 http://doi.org/10.1002/ett.4460100604 . .

Y. Zeng , , , C.M. Yetis , , , E. Gunawan , , , 等 . . Transmit optimization with improper Gaussian signaling for interference channels . . IEEE Trans. Signal Process. , , 2013a . . 61 ( ( 11 ): ): 2899 - - 2913 . . DOI: 10.1109/TSP.2013.2254480 http://doi.org/10.1109/TSP.2013.2254480 . .

Y. Zeng , , , R. Zhang , , , E. Gunawan , , , 等 . . Optimized transmission with improper Gaussian signaling in the K -user MISO interference channel . . IEEE Trans. Wirel. Commun. , , 2013b . . 12 ( ( 12 ): ): 6303 - - 6313 . . DOI: 10.1109/TWC.2013.103013.130439 http://doi.org/10.1109/TWC.2013.103013.130439 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰